Download or read book Elliptic Problem Solvers written by Martin H. Schultz and published by Academic Press. This book was released on 2014-05-10 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elliptic Problem Solvers provides information pertinent to some aspects of the numerical solution of elliptic partial differential equations. This book presents the advances in developing elliptic problem solvers and analyzes their performance. Organized into 40 chapters, this book begins with an overview of the approximate solution of using a standard Galerkin method employing piecewise linear triangular finite elements. This text then defines the types of vector architecture and discusses the variation in performance that can occur on a vector processor as a function of algorithm and implementation. Other chapters consider the implementation of techniques for elliptical problems. This book discusses as well the six techniques for the solution of nonsymmetric linear systems arising from finite difference discretization of the convection-diffusion equation. The final chapter deals with the basic semiconductor device equations. This book is a valuable resource for electrical and computer engineers, scientists, computer programmers, pure mathematicians, and research workers.
Download or read book Elliptic Problem Solvers written by Garrett Birkhoff and published by Academic Press. This book was released on 2014-05-10 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elliptic Problem Solvers, II covers the proceedings of the Elliptic Problem Solvers Conference, held at the Naval Postgraduate School in Monterey, California from January 10 to 12, 1983. The book focuses on various aspects of the numerical solution of elliptic boundary value problems. The selection first offers information on building elliptic problem solvers with ELLPACK; presentation and evolution of the club module; and a fourth order accurate fast direct method for the Helmholtz equation. The text then examines the ITPACK project, CMMPAK, solving elliptic problems on an array processor system, and parallel architectures for iterative methods on adaptive, block structured grids. Topics include adaptive solution algorithm, data structure, elliptic problem solvers, input data, and vector ITPACK. The publication ponders on conjugate gradient preconditioners for vector and parallel processors; an algebra for systolic computation; and an incomplete-Cholesky factorization by a matrix partition algorithm. The book also tackles the numerical solution of a model equation near the onset of the Rayleigh-Benard instability; numerical methods for solving coupled semiconductor equations on a minicomputer; and analysis of nonlinear elliptic systems arising in reaction/diffusion modeling. The selection is highly recommended for researchers interested in elliptic problem solvers.
Download or read book Selected Papers from the Second Conference on Parallel Processing for Scientific Computing written by Charles William Gear and published by SIAM. This book was released on 1987-01-01 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings -- Parallel Computing.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Technical Abstract Bulletin written by and published by . This book was released on 1981 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algorithms for Elliptic Problems written by Marián Vajtersic and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with problems of modern effective algorithms for the numerical solution of the most frequently occurring elliptic partial differential equations. From the point of view of implementation, attention is paid to algorithms for both classical sequential and parallel computer systems. The first two chapters are devoted to fast algorithms for solving the Poisson and biharmonic equation. In the third chapter, parallel algorithms for model parallel computer systems of the SIMD and MIMD types are described. The implementation aspects of parallel algorithms for solving model elliptic boundary value problems are outlined for systems with matrix, pipeline and multiprocessor parallel computer architectures. A modern and popular multigrid computational principle which offers a good opportunity for a parallel realization is described in the next chapter. More parallel variants based in this idea are presented, whereby methods and assignments strategies for hypercube systems are treated in more detail. The last chapter presents VLSI designs for solving special tridiagonal linear systems of equations arising from finite-difference approximations of elliptic problems. For researchers interested in the development and application of fast algorithms for solving elliptic partial differential equations using advanced computer systems.
Download or read book Current Trends in Scientific Computing written by Zhangxin Chen and published by American Mathematical Soc.. This book was released on 2003 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 36 research papers written by prominent researchers. The papers are based on a large satellite conference on scientific computing held at the International Congress of Mathematics (ICM) in Xi'an, China. Topics covered include a variety of subjects in modern scientific computing and its applications, such as numerical discretization methods, linear solvers, parallel computing, high performance computing, and applications to solid and fluid mechanics, energy, environment, and semiconductors. The book will serve as an excellent reference work for graduate students and researchers working with scientific computing for problems in science and engineering.
Download or read book Government Reports Announcements Index written by and published by . This book was released on 1985 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Recent Trends in Numerical Analysis written by D. Trigiante and published by Nova Publishers. This book was released on 2000 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions for this volume, dedicated to honour the 65th birthday of Professor I Galligani, have been numerous and cover a wide range of topics of the current Numerical Analysis and of its applications.
Download or read book Optimization in Solving Elliptic Problems written by Eugene G. D'yakonov and published by CRC Press. This book was released on 2018-05-04 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization in Solving Elliptic Problems focuses on one of the most interesting and challenging problems of computational mathematics - the optimization of numerical algorithms for solving elliptic problems. It presents detailed discussions of how asymptotically optimal algorithms may be applied to elliptic problems to obtain numerical solutions meeting certain specified requirements. Beginning with an outline of the fundamental principles of numerical methods, this book describes how to construct special modifications of classical finite element methods such that for the arising grid systems, asymptotically optimal iterative methods can be applied. Optimization in Solving Elliptic Problems describes the construction of computational algorithms resulting in the required accuracy of a solution and having a pre-determined computational complexity. Construction of asymptotically optimal algorithms is demonstrated for multi-dimensional elliptic boundary value problems under general conditions. In addition, algorithms are developed for eigenvalue problems and Navier-Stokes problems. The development of these algorithms is based on detailed discussions of topics that include accuracy estimates of projective and difference methods, topologically equivalent grids and triangulations, general theorems on convergence of iterative methods, mixed finite element methods for Stokes-type problems, methods of solving fourth-order problems, and methods for solving classical elasticity problems. Furthermore, the text provides methods for managing basic iterative methods such as domain decomposition and multigrid methods. These methods, clearly developed and explained in the text, may be used to develop algorithms for solving applied elliptic problems. The mathematics necessary to understand the development of such algorithms is provided in the introductory material within the text, and common specifications of algorithms that have been developed for typical problems in mathema
Download or read book Computer Architecture Tutorial written by Daniel D. Gajski and published by . This book was released on 1987 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: This tutorial is intended for computer system architects, designers, and managers who need a broad range of knowledge on advanced topics in computer architecture. The book can be used as a textbook, or as a research and design reference. The goal of this tutorial is to present the state of the art in advanced computer architecture. Part I deals with the concepts underlying current architectures. Part II covers a variety of approaches and techniques being used in the design of advanced computer systems.
Download or read book SIAM Journal on Scientific and Statistical Computing written by Society for Industrial and Applied Mathematics and published by . This book was released on 1992 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reviews in Numerical Analysis 1980 86 written by and published by . This book was released on 1987 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: These five volumes bring together a wealth of bibliographic information in the area of numerical analysis. Containing over 17,600 reviews of articles, books, and conference proceedings, these volumes represent all the numerical analysis entries that appeared in Mathematical Reviews between 1980 and 1986. Author and key indexes appear at the end of volume 5.
Download or read book Government reports annual index written by and published by . This book was released on 199? with total page 942 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Scientific Software Systems written by J. C. Mason and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main aim of this book is to present a broader view of scientific software than has been common in the past. The provision of scientific software is no longer a matter of just writing 'good computer programs', but rather it is concerned with the development of an integrated software system wI-,ich offers the user facilities which approach all that he needs in terms of speed, accuracy and convenience. This means that due account must, for example, be taken of the high-speed computing capabilities of parallel processors, the exact computing features of symbolic mathematical systems, the presentational potentialities of computer graphics, and the advisory aspects of knowledge-based and expert systems. When suites of numerical software programs or routines are supported by such ranges of facilities, then they can be justly described as 'scientific software systems', and that is why we have adopted such a title here. The assembly of this book was a direct consequence of the running of a one-day international symposium, with the same broad aim of advocating a 'systems approach', under the title 'Scientific Software and Systems'. This Symposium was held at the Royal Military College of Science (RMCS) in Shrivenham on July 11, 1988 and was attended by 85 people. A very busy but most enjoyable day included invited talks, poster presentations and demonstrations of software products, not to mention various social activi ties.
Download or read book New Trends in Technologies written by Zhichao Lian and published by BoD – Books on Demand. This book was released on 2010-11-02 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The grandest accomplishments of engineering took place in the twentieth century. The widespread development and distribution of electricity and clean water, automobiles and airplanes, radio and television, spacecraft and lasers, antibiotics and medical imaging, computers and the Internet are just some of the highlights from a century in which engineering revolutionized and improved virtually every aspect of human life. In this book, the authors provide a glimpse of new trends in technologies pertaining to devices, computers, communications and industrial systems.
Download or read book Computers Control Information Theory written by and published by . This book was released on 1981 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:
